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On dual relative CS-Baer modules

  • Hacettepe University
  • Babes-Bolyai University
  • Centre Régional des Métiers de l’Education et de la Formation (CRMEF-TTH)Tanger

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

We prove that every supplement submodule of a quasi-projective dual CS-Rickart module is a direct summand. We also prove that for any Z-module M, HomZ (M, Z) = 0 if and only if ZZ is dual M-CS-Baer (Rickart) if and only if M has no nonzero cyclic torsion-free direct summands. Finally, we describe some classes all of whose modules are dual self-CS-Baer.

Original languageEnglish
Title of host publicationAlgebraic Structures and Applications - Conference NonCommutative Rings and their Applications VIII, 2023 and Conference Quadratic Forms, Rings and Codes, 2023
EditorsAhmed Laghribi, André Leroy
PublisherAmerican Mathematical Society
Pages125-132
Number of pages8
ISBN (Print)9781470477639
DOIs
Publication statusPublished - 2025
Externally publishedYes
EventConference NonCommutative Rings and their Applications, 2023 and Conference Quadratic Forms, Rings and Codes, 2023 - Hybrid, Lens, France
Duration: 31 Aug 202331 Aug 2023

Publication series

NameContemporary Mathematics
Volume826
ISSN (Print)0271-4132
ISSN (Electronic)1098-3627

Conference

ConferenceConference NonCommutative Rings and their Applications, 2023 and Conference Quadratic Forms, Rings and Codes, 2023
Country/TerritoryFrance
CityHybrid, Lens
Period31/08/2331/08/23

Keywords

  • Dual CS-Baer module
  • lifting module
  • perfect ring
  • semiperfect ring

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